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The set X consists of all points within ...

The set X consists of all points within and on the unit circle `x^(2)+y^(2)=1`, whereas the set Y consists of all points on and inside the rectangular boundary `x = 0, x = 1`, y = - 1 and y = 1. Determine `X uu Y` and `X nn Y`. Illustrate your answer by diagrams.

Text Solution

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The correct Answer is:
`XuuY={(x, y):x^(2)+y^(2)le1or0lexle1and-1leyle1}`
`XnnY={(x,y):x^(2)+y^(2)le1andxge0}`
`X={(x,y):x^(2)+y^(2)le1}`
`Y={(x,y):0lexle1-1leyle1}`
`XuuY={(x,y):x^(2)+y^(2)le1or0lexle1and-1leyle1}`
`XnnY={(x,y):x^(2)+y^(2)le1andxge0}`
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